A quadratic time finite element method for nonlinear elastodynamics within the context of hybrid finite elements

DOI10.1016/j.amc.2017.01.059zbMath1411.74051OpenAlexW2590118742MaRDI QIDQ1735436

Manish Agrawal, Chandrashekhar Jog

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.059

zbMATH Keywords

nonlinear elastodynamicstime finite element methodhybrid elements

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

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• Constraint energy momentum algorithm and its application to nonlinear dynamics of shells
• Generalized energy-momentum method for nonlinear adaptive shell dynamics
• Conservation properties of a time FE method?part II: Time-stepping schemes for non-linear elastodynamics
• Rational approach for assumed stress finite elements
• Relations between incompatible displacement model and hybrid stress model
• Non-linear analysis of structures using high performance hybrid elements
• Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes

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